WEAK TYPES OF LIMIT POINTS AND SEPARATION AXIOMS ON SUPRA TOPOLOGICAL SPACES

2020 ◽  
Vol 9 (10) ◽  
pp. 8017-8036
Author(s):  
T. M. Al-shami ◽  
B. A. Asaad ◽  
M. K. El-bably
Keyword(s):  
Topological Spaces ◽  
Separation Axioms ◽  
Limit Points

scholarly journals Limit Points and Separation Axioms with Respect to Supra Semi-open Sets

2020 ◽  
Vol 13 (3) ◽  
pp. 427-443 ◽  
Author(s):  
Tareq M. AL-shami ◽  
E. A. Abo-Tabl ◽  
Baravan Assad ◽  
Mohamed Arahet
Keyword(s):  
Real Life ◽  
Research Area ◽  
Topological Spaces ◽  
Difference Property ◽  
Separation Axioms ◽  
Life Problems ◽  
New Concepts ◽  
Limit Points ◽  
The Difference

Sometimes we need to minimize the conditions of topology for different reasons such as obtaining more convenient structures to describe some real-life problems, or constructing some counterexamples whom show the interrelations between certain topological concepts, or preserving some properties under fewer conditions of those on topology. To contribute this research area, in this paper, we establish some new concepts on supra topological spaces using supra semi-open sets and give some characterizations of them. First, we introduce a concept of supra semi limit points of a set and study main properties, in particular, on the spaces that possess the difference property. Second, we define and investigate new separation axioms, namely supra semi Ti-spaces (i = 0, 1, 2, 3, 4) and give complete descriptions for each one of them. We provide some examples to show the relationships between them as well as with STi-space.

Investigation of Limit Points and Separation Axioms Using Supra $\beta$-Open Sets

2020 ◽  
Vol 32 (2) ◽  
pp. 171-187
Author(s):  
T. M. Al-Shami ◽  
E. A. Abo-Tabl ◽  
B. A. Asaad
Keyword(s):  
Separation Axioms ◽  
Limit Points

scholarly journals £-Single Valued Extremally Disconnected Ideal Neutrosophic Topological Spaces

Symmetry ◽  
2020 ◽  
Vol 13 (1) ◽  
pp. 53
Author(s):  
Fahad Alsharari
Keyword(s):  
Topological Spaces ◽  
Neutrosophic Sets ◽  
Extremally Disconnected ◽  
Fundamental Properties ◽  
Separation Axioms ◽  
New Concepts ◽  
Definition Of

This paper aims to mark out new concepts of r-single valued neutrosophic sets, called r-single valued neutrosophic £-closed and £-open sets. The definition of £-single valued neutrosophic irresolute mapping is provided and its characteristic properties are discussed. Moreover, the concepts of £-single valued neutrosophic extremally disconnected and £-single valued neutrosophic normal spaces are established. As a result, a useful implication diagram between the r-single valued neutrosophic ideal open sets is obtained. Finally, some kinds of separation axioms, namely r-single valued neutrosophic ideal-Ri (r-SVNIRi, for short), where i={0,1,2,3}, and r-single valued neutrosophic ideal-Tj (r-SVNITj, for short), where j={1,2,212,3,4}, are introduced. Some of their characterizations, fundamental properties, and the relations between these notions have been studied.

Higher separation axioms in L-topologically generated -topological spaces

2002 ◽  
Vol 131 (3) ◽  
pp. 315-322 ◽  
Author(s):  
Tomasz Kubiak ◽  
Iraide Mardones-Pérez
Keyword(s):  
Topological Spaces ◽  
Separation Axioms

scholarly journals Separation Axioms in Intuitionistic Fuzzy Topological Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-7
Author(s):  
Amit Kumar Singh ◽  
Rekha Srivastava
Keyword(s):  
Topological Space ◽  
Left Adjoint ◽  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Separation Axioms ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces

In this paper we have studied separation axiomsTi,i=0,1,2in an intuitionistic fuzzy topological space introduced by Coker. We also show the existence of functorsℬ:IF-Top→BF-Topand𝒟:BF-Top→IF-Topand observe that𝒟is left adjoint toℬ.

scholarly journals On Soft Turning Points

2018 ◽  
Vol 15 (3) ◽  
pp. 352-360
Author(s):  
Baghdad Science Journal
Keyword(s):  
Turning Points ◽  
Soft Sets ◽  
Great Flexibility ◽  
Separation Axioms ◽  
Soft Limit ◽  
Limit Points

The soft sets were known since 1999, and because of their wide applications and their great flexibility to solve the problems, we used these concepts to define new types of soft limit points, that we called soft turning points.Finally, we used these points to define new types of soft separation axioms and we study their properties.

scholarly journals Intuitionistic Fuzzy Topological Spaces Model

2020 ◽  
Vol 55 (2) ◽  
Author(s):  
Hind Fadhil Abbas
Keyword(s):  
Hausdorff Space ◽  
Basic Structure ◽  
Normal Space ◽  
Regular Space ◽  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Separation Axioms ◽  
Fuzzy Ideal ◽  
Scientific Phenomenon ◽  
Fuzzy Topological Spaces

The fusion of technology and science is a very complex and scientific phenomenon that still carries mysteries that need to be understood. To unravel these phenomena, mathematical models are beneficial to treat different systems with unpredictable system elements. Here, the generalized intuitionistic fuzzy ideal is studied with topological space. These concepts are useful to analyze new generalized intuitionistic models. The basic structure is studied here with various relations between the generalized intuitionistic fuzzy ideals and the generalized intuitionistic fuzzy topologies. This study includes intuitionistic fuzzy topological spaces (IFS); the fundamental definitions of intuitionistic fuzzy Hausdorff space; intuitionistic fuzzy regular space; intuitionistic fuzzy normal space; intuitionistic fuzzy continuity; operations on IFS, the compactness and separation axioms.

scholarly journals The Soft Separation Axioms Semi- D2 in Soft Topological Spaces and in Soft Bi-Topological Spaces

2018 ◽  
Vol 30 (03) ◽  
pp. 20-29
Author(s):  
ARIF MEHMOOD KHATTAK ◽  
◽  
FAHAD JAMAL ◽  
ISHFAQ AHMED ◽  
◽  
...  
Keyword(s):  
Topological Spaces ◽  
Separation Axioms
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